Landau-Ginzburg理论中的高亏格壁交叉
代数几何
2019-04-25 v3
摘要
对于Fermat拟齐次多项式，我们研究了带有狭插入的相应加权Fan-Jarvis-Ruan-Witten理论。我们通过在主空间上的局部化证明了所有亏格的壁交叉公式，该主空间是通过在模问题中引入一个额外的切向量构造的。这是Ciocan-Fontanine和Kim证明的高亏格拟映射壁交叉公式的Landau-Ginzburg理论类似物。它推广了Ross-Ruan的亏格结果和Guo-Ross的亏格结果。
引用
@article{arxiv.1706.05109,
title = {Higher-genus wall-crossing in Landau-Ginzburg theory},
author = {Yang Zhou},
journal= {arXiv preprint arXiv:1706.05109},
year = {2019}
}
备注
Two errors are fixed. The theorems listed in the introduction are not changed. 1. In Lemma 16, there should not be a truncation for the series mu. 2. The formula for mu in Remark 8 is corrected